Math, asked by suga191990, 9 months ago

The ratio of the radii of two right circular cones of same height is 1:3. Find the ratio of their curved surface area when the height of each cone is 3 times the radius of the smaller cone. The answer is 5:9but how

Answers

Answered by Anonymous
4

Answer:

Step-by-step explanation:

Solution :-

Let there be cone 1 and cone 2 respectively.

Let the r and R be the radii of the two right circular cones respectively.

Ratio of base radii = 3 : 5

Volume of cone = 1/3πr²h

⇒Volume of cone 1/Volume of cone 2

⇒ (1/3*πr²h)/(1/3πR²h)

⇒ (1/3*π*3²*h)/(1/3*π*5²*h)

= 3²/5²

= 9/25

= 9 : 25

So, the ratio of their volumes is 9 : 25

Answer.

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Answered by Tamilneyan
12

Answer:

Ratio of curved surface area = √5:9 (verified) not (5:9)

Step-by-step explanation:

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